Least Common Multiple of 7156 and 7160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7156 and 7160 the smallest integer that is 12809240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7156 and 7160 is 12809240.

LCM(7156,7160) = 12809240

LCM of 7156 and 7160

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7156 and 7160

LCM of 7156 and 7160 is 12809240

Least common multiple can be found by multiplying the highest exponent prime factors of 7156 and 7160. First we will calculate the prime factors of 7156 and 7160.

Prime Factorization of 7156


2 7156
2 3578
1789 1789
1

Prime factors of 7156 are 2,1789. Prime factorization of 7156 in exponential form is:

7156 = 22×17891

Prime Factorization of 7160


2 7160
2 3580
2 1790
5 895
179 179
1

Prime factors of 7160 are 2, 5,179. Prime factorization of 7160 in exponential form is:

7160 = 23×51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7156 and 7160.

LCM(7156,7160) = 23×51×1791×17891
LCM(7156,7160) = 12809240

Factors of 7156

List of positive integer factors of 7156 that divides 7156 without a remainder.

1, 2, 4, 1789, 3578, 7156

Factors of 7160

List of positive integer factors of 7160 that divides 7160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160

Least Common Multiple of 7156 and 7160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7156 and 7160, than apply into the LCM equation.

GCF(7156,7160) = 4
LCM(7156,7160) = ( 7156 × 7160) / 4
LCM(7156,7160) = 51236960 / 4
LCM(7156,7160) = 12809240

Properties of LCM 7156 and 7160

(i) The LCM of 7160 and 7156 is associative

LCM of 7156 and 7160 = LCM of 7160 and 7156

Related Least Common Multiples of 7156

Related Least Common Multiples of 7160

Frequently Asked Questions on LCM of 7156 and 7160

1. What is the LCM of 7156 and 7160?

Answer: LCM of 7156 and 7160 is 12809240.

2. What are the Factors of 7156?

Answer: Factors of 7156 are 1, 2, 4, 1789, 3578, 7156. There are 6 integers that are factors of 7156. The greatest factor of 7156 is 7156.

3. What are the Factors of 7160?

Answer: Factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160. There are 16 integers that are factors of 7160. The greatest factor of 7160 is 7160.

4. How to Find the LCM of 7156 and 7160?

Answer:

Least Common Multiple of 7156 and 7160 = 12809240

Step 1: Find the prime factorization of 7156

7156 = 2 x 2 x 1789

Step 2: Find the prime factorization of 7160

7160 = 2 x 2 x 2 x 5 x 179

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12809240 = 2 x 2 x 2 x 5 x 179 x 1789

Step 4: Therefore, the least common multiple of 7156 and 7160 is 12809240.